小子样条件下导弹靶场试验综合评定方法

针对导弹靶场试验中的小子样问题,分析了自助法和随机加权法,并对自助法中再生子样较为集中的不足进行了改进。通过仿真比较得出,改进后的自助法具有更好的评定特性。     

基于随机加权法的BAYES精度评定

从工程应用的角度出发 ,在极小现场子样条件下 ,讨论了如何利用验前信息与现场子样来对导弹的命中精度进行评定 ,将随机加权法与BAYES方法结合起来 ,提出了基于随机加权法的BAYES精度评定方法 ,并通过算例证实了方法的正确性     

Bayes 试验分析中验前分布的表示

结合武器系统试验鉴定中的问题，研究Ｂａｙｅｓ方法运用中的验前信息表示问题。文中运用自助（Ｂｏｏｔｓｔｒａｐ）方法和随机加权法确定验前分布。对于多种信息源之下的验前信息，给出了验前分布的融合估计。对当前工程实践中常用的方法及存在的问题，提出了看法和处置方法。     

用BMM算法进行机动目标跟踪

本文提出了用自助法多模型——the bootstrap multiple model(BMM)算法进行评估混合(连续-离散)系统的自助法随机仿真方法。并用BMM滤波来进行机动目标跟踪,跟踪效果由计算机仿真进行验征。     

升降法数据的可靠性评定

针对目前升降法数据可靠性评定方法的不足,在火工品可靠性评定模型基础上,重点探讨了用正态容许限法对升降法数据进行可靠性评定的方法。     

马氏综合权重距离判别法在中小型滑坡灾害评估中的应用

我国西南地区滑坡灾害具有点多面广、规模小、危害大的特点,群测群防是目前中小型滑坡灾害最为有效的预防手段。针对这种现状,为进一步完善群测群防体系,在马氏距离判别法和加权马氏距离判别法的基础上对权重值进行了修正改进,提出了一种新的判别分析方法——马氏综合权重距离判别法。该方法不仅保留了加权马氏距离判别中区分每一个指标重要性差异的优势,并且结合德尔菲法对权重值进一步修正,弥补了原来加权马氏距离法在判别过程中距离函数出现负值的不足。从本质上来说,这种方法是把由样本驱动的权重值和实际工程经验的权重值相结合,使权重值的取值更加符合实际。以该方法为基础,在一定的历史资料背景下,从滑坡致灾因素和孕灾因素考虑,选取适当的判别因子,建立判别模型,对未知潜在滑坡灾害进行判别归类,并且与马氏距离判别法和Fisher判别法比较。研究发现,马氏综合权重距离判别法具有更高的可靠度和判别精度,适于在群测群防体系中进一步推广使用。     

射击精度评估新技术

以某远程武器射击精度鉴定问题为对象,研究了运用Bayes理论从仿真试验数据中提取有用信息,从而实现在少量试验样本情况下有效完成射击精度试验鉴定任务的方法.尝试在准确描述远程武器射击精度的动力学仿真模型的基础上,将均匀设计法应用于射击精度的仿真,介绍了运用自助(bootstrap)法从仿真试验结果中获取验前信息的基本思想和一般方法,以及在获得验前信息后结合现场试验样本进行射击精度鉴定的方法.     

基于虚拟样机的导弹落点精度

提出一种研究导弹落点精度的仿真方法.在ADAMS/View中建立导弹虚拟样机,在MATLAB中设计控制算法并构建模块化的仿真系统.研究影响导弹落点精度的随机扰动变量,确定它们的分布规律,产生随机扰动变量的样本并添加到所建立的模型中.通过ADAMS/Controls模块实现虚拟样机和控制系统之间的接口,进行机电联合仿真和模拟打靶.分析仿真结果,评定导弹落点精度.这种方法实质上是蒙特卡罗法,但用虚拟样机代替了传统上使用的数学模型,以增加模型的可信度.     

二元探测传感器网络的递推加权质心目标定位算法

为进一步降低二元探测传感器网络质心定位算法的计算复杂度和通信量、提高定位精度,推导出一种质心算法的递推公式,使用该递推公式可以大大减少定位的计算、存储和通信量;在递推质心公式的基础上,提出了一种基于节点探测到目标的次数的递推加权质心定位算法,从而提高了定位精度.对递推公式和加权质心算法进行了模拟仿真,结果验证了递推公式和加权递推质心算法的有效性.     

指数分布产品的小样本可靠性参数评估方法

介绍了小样本可靠性参数评估的Bootstrap方法和随机加权法的基本思想,以及指数分布随机样本的Monte Carlo抽样过程;分析了指数分布随机观测样本的平均寿命估计的相对误差,研究了小样本情况下,相对误差的统计特性随样本量的变化关系及其分布情况,并对仿真结果进行了对比分析。     

小子样下命中概率的估计

研究了当试验次数较少时 ,命中圆域的概率估计。给出了自助估计法和融合估计方法 ,对于估计的精度进行了分析。方法易于实现 ,适用于工程应用     

基于Bayes方法的射击密集度评估

以某远程武器射击密集度鉴定问题为对象,研究了运用Bayes 理论从仿真试验数据中提取有用信息,从而实现在少量试验样本情况下有效完成射击密集度试验鉴定任务的方法.将最大熵法应用于射击密集度估计,介绍了运用自助(Bootstrap)法从仿真试验结果中获取验前信息的基本思想和一般方法,以及在获得验前信息后结合现场试验样本进行射击密集度鉴定的方法.     

基于Fiducial推断的Bayes验前分布的表示

先验分布的确定与表示是Bayes统计推断的出发点和关键点。提出了一种基于信仰推断 (FiducialInfer ence)观点确定Bayes先验分布的设想 ,有助于解决无验前信息或验前历史信息较少时先验分布的确定问题 ,文中给出了一个实例说明了该方法的应用     

Layers of Experiments with Adaptive Combined Design

In the field of nanofabrication, engineers often face unique challenges in resource‐limited experimental budgets, the sensitive nature of process behavior with respect to controllable variables, and highly demanding tolerance requirements. To effectively overcome these challenges, this article proposes a methodology for a sequential design of experiments through batches of experimental runs, aptly named Layers of Experiments with Adaptive Combined Design (LoE/ACD). In higher layers, where process behavior is less understood, experimental regions cover more design space and data points are more spread out. In lower layers, experimental regions are more focused to improve understanding of process sensitivities in a local, data‐rich environment. The experimental design is a combination of a space‐filling and an optimal design with a tuning parameter that is dependent on the amount of information accumulated over the various layers. The proposed LoE/ACD method is applied to optimize a carbon dioxide (epet‐CO2) assisted deposition process for fabricating silver nanoparticles with pressure and temperature variables. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 127–142, 2015     

小子样条件下航天轴承性能可靠性建模与评估

航天油润滑轴承可靠性具有小子样、无失效数据特点,即使采用性能可靠性方法进行建模与分析,仍存在性能数据不足问题。提出小子样条件下航天轴承性能可靠性分析的多层贝叶斯模型及模型求解方法。通过失效分析,建立轴承性能退化过程模型。利用自助法、试验数据、物理模型和专家经验等确定Bayes验前分布,并采用MCMC方法解决Bayes计算问题。实例分析表明,该方法具有较好的适用性,是解决小子样条件下长寿命产品可靠性建模与评估问题的一种有效途径。     

基于均匀实验设计的温压战斗部爆炸冲击波毁伤仿真研究

以温压战斗部爆炸冲击波对地下目标的毁伤为背景,设计毁伤仿真模拟的基本方案,在对影响冲击波毁伤因素合理分析的基础上,利用均匀试验设计方法设计以装药密度、空气温度、大气压强以及混凝土密度为影响因素的均匀试验方案,最后通过正态分布检验图和Bootstrap法等方法对毁伤参数的统计特性进行研究。结果表明,固定条件下温压战斗部爆炸冲击波对地下目标的毁伤中,毁伤参数值具有明显的正态分布特性,对后续结合现场试验数据确定毁伤参数真值和毁伤试验鉴定提供了一定的指导和借鉴作用。     

正态双边可靠度的Bootstrap下限

研究了正态单元双边可靠度Bootstrap置信下限,并在小样本条件下对Bootstrap估计进行了纠偏处理,以提高区间估计的精度。进行了仿真检验,并与目前经典的使用双边容许限系数表的近似法相比较,证明该方法具有较高的精度,便于程序实现。     

Guns for Butter? Empirical Evidence from China

Abstract

This study examines the causal nexus between defence spending and education expenditure in China using the bootstrap Granger full-sample causality test and sub-sample rolling window estimation. The full-sample result indicates that there is no causality between defence spending and education expenditure. By adopting a time-varying rolling window approach to revisit the dynamic causal relationships, this article identifies a negative unidirectional causality running from education expenditure to defence spending. The finding suggests that it is the education expenditure crowds out defence spending in China rather than reverse. No causality is demonstrated from defence spending to education expenditure, indicating that an increase in military spending will not crowd out expenditure on education. The results could be partly explained by that the education expenditure in China is below the requirement of corresponding economic growth, urging for more financial budget. Whereas the findings support a negative trade-off between defence and education expenditures, they refute the theory of ‘guns for butter’.     

Pairwise model discrimination with applications in lifetime distributions and degradation processes

Reliability data obtained from life tests and degradation tests have been extensively used for purposes such as estimating product reliability and predicting warranty costs. When there is more than one candidate model, an important task is to discriminate between the models. In the literature, the model discrimination was often treated as a hypothesis test and a pairwise model discrimination procedure was carried out. Because the null distribution of the test statistic is unavailable in most cases, the large sample approximation and the bootstrap were frequently used to find the acceptance region of the test. Although these two methods are asymptotically accurate, their performance in terms of size and power is not satisfactory in small sample size. To enhance the small‐sample performance, we propose a new method to approximate the null distribution, which builds on the idea of generalized pivots. Conventionally, the generalized pivots were often used for interval estimation of a certain parameter or function of parameters in presence of nuisance parameters. In this study, we further extend the idea of generalized pivots to find the acceptance region of the model discrimination test. Through extensive simulations, we show that the proposed method performs better than the existing methods in discriminating between two lifetime distributions or two degradation models over a wide range of sample sizes. Two real examples are used to illustrate the proposed methods.